Data Sufficiency Question 24

Directions : In each of the following questions, a question and three statements following it have been given. You are required to study the question and statements and decide that the information given in which statement(s) is necessary to answer the question?

(Corporation Bank Specialist Officer (Marketing) Exam 22.02.2014)

  1. What is the speed of train?

I. Train crosses a signal post in 15 seconds.

II. Train crosses a 250 metre long platform in 27 seconds.

III. Train crosses another train running in the same direction on a parallel track in 32 seconds.

(1) I and II

(2) I and III

(3) II and III

(4) Any two of the three

(5) None of these

Show Answer

Correct Answer: 24. (1)

Solution: 24. (1) From statements I and II, If the length of the train be $x$ metre, then

Speed of train $=\frac{x}{15}=\frac{x+250}{27}$

$\Rightarrow \frac{x}{5}=\frac{x+250}{9}$

$\Rightarrow 9 x=5 x+1250$

$\Rightarrow 4 x=1250$

$\Rightarrow x=\frac{1250}{4}$

$=312.5 \mathrm{~m} / \mathrm{sec}$.